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Finding the Fourth Proportional to 206,957.16, 310,176.18 and 88,489.44

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Solution

The fourth proportional to 206,957.16, 310,176.18 and 88,489.44 is: 132,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,957.16 : 310,176.18 = 88,489.44 : x
  2. Step 2: Convert to fraction form
    206,957.16/310,176.18 = 88,489.44/x
  3. Step 3: Cross multiply
    206,957.16x = 310,176.18 × 88,489.44
  4. Step 4: Simplify right side
    206,957.16x = 27,447,316,469.54
  5. Step 5: Solve for x
    x = 27,447,316,469.54/206,957.16
  6. Step 6: Final answer
    x = 132,623.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.